ORIGINAL_ARTICLE
Sliding window rough measurable function on Riesz Triple Almost (λ_mi,μ_nℓ,γ_kj)-Lacunary χ3R_λmiμnℓγkj sequence spaces defined by an Orlicz function
In this paper, we introduce a new concept for generalized sliding window rough measurable function onalmost (λ_mi,μ_nℓ,γ_kj) -convergence in χ3R_λmiμnℓγkj - Riesz spaces strong P -convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We also introduce and study sliding window rough statistical convergence of generalized sliding window rough measurable function on almost (λ_mi,μ_nℓ,γ_kj) -convergence in χ3R_λmiμnℓγkj - Riesz space and also some inclusion theorems are discussed.
https://www.cna-journal.com/article_89508_56f604a58c3260f3b0b631cce0ba0dc1.pdf
2017-06-01
91
103
Analytic sequence
Orlicz function
double sequences
X-sequence
Riesz space
Riesz convergence
Pringsheim convergence
Ayhan
Esi
aesi23@hotmail.com
1
Department of Mathematics, Adiyaman University, 02040, Adiyaman, Turkey.
LEAD_AUTHOR
Nagarajan
Subramanian
nsmaths@yahoo.com
2
Department of Mathematics, SASTRA Deemed University,Thanjavur-613 401, India.
AUTHOR
[1] S. Aytar, Rough statistical Convergence, Numer. Funct. Anal. Optim., 29 (2008), 291-303.
1
[2] A. Esi, On some triple almost lacunary sequence spaces dened by Orlicz functions, Research and Reviews: Discrete
2
Mathematical Structures, 1 (2014), 16-25.
3
[3] A. Esi, M. Necdet Catalbas, Almost convergence of triple sequences, Global Journal of Mathematical Analysis, 2
4
(2014), 6-10.
5
[4] A. Esi, E. Savas, On lacunary statistically convergent triple sequences in probabilistic normed space, Appl. Math.
6
Inf. Sci., 9 (2015), 2529-2534.
7
[5] A. J. Dutta, A. Esi, B. C. Tripathy, B. Chandra,Statistically convergent triple sequence spaces dened by Orlicz
8
function, J. Math. Anal., 4 (2013), 16-22.
9
[6] S. Debnath, B. Sarma, B. C. Das, Some generalized triple sequence spaces of real numbers, J. Nonlinear Anal.
10
Optim., 6 (2015), 71-79.
11
[7] P. K. Kamthan, M. Gupta, Sequence spaces and series, Lecture notes, Pure and Applied Mathematics, 65 Marcel
12
Dekker, Inc., New York, (1981).
13
[8] J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces, Israel J. Math., 10 (1971), 379-390.
14
[9] J. Musielak, Orlicz spaces and modular spaces.Lectures Notes in Mathematics.,1034, Springer-Verlag, Berlin,
15
[10] S. K. Pal, D. Chandra, S. Dutta, Rough ideal Convergence, Hacet. J. Math. Stat., 42 (2013), 633-640.
16
[11] H. X. Phu, Rough convergence in normed linear spaces, Numer. Funct. Anal. Optim., 22 (2001), 201-224.
17
[12] A. Sahiner, M. Gurdal, F. K. Duden, Triple sequences and their statistical convergence, Selcuk J. Appl. Math., 8
18
(2007), 49-55.
19
[13] A. Sahiner, B. C. Tripathy, Some I related properties of triple sequences, Selcuk J. Appl. Math., 9 (2008), 9-18.
20
[14] N. Subramanian, A. Esi, The generalized tripled difference of X-sequence spaces, Global Journal of Mathematical
21
Analysis, 3 (2015), 54-60.
22
ORIGINAL_ARTICLE
Some results by quasicontractive mappings in f-orbitally complete metric space
The purpose of this paper is to obtain the fixed point results by quasi-contractive mappings in f-orbitallycomplete metric space. These results are generalizations of Ciric fixed point theorems. Also, we extend therecent results which are presented in [P. Kumam, N. Van Dung, K. Sitthithakerngkiet, Filomat, 29 (2015),1549{1556] and [M. Beesyei, Expo. Math., 33 (2015), 517-525].
https://www.cna-journal.com/article_89767_8297a492f3b80313703dd8bd2fe5a080.pdf
2017-06-01
104
110
fixed point
quasi-contractive mapping
f-orbitally complete metric space
Maryam
Eshraghisamani
m-eshraghi@srbiau.ac.ir
1
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
AUTHOR
Seyyed Mansour
Vaezpour
veaz@aut.ac.ir
2
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.
AUTHOR
Mehdi
Asadi
masadi@iauz.ac.ir
3
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.
LEAD_AUTHOR
[1] M. Beesyei, Nonlinear quasicontractions in complete metric spaces, Expo. Math., 33 (2015), 517-525.
1
[2] F. E. Browder, Remarks on fixed point theorems of contractive type, Nonlinear Anal., 3 (1979), 657-661.
2
[3] L. B. Ciric, A generalization of Banach contraction principle, Proc. Amer. Math. Soc., 45 (1974), 267-273.
3
[4] M. Hegedus, T. Szilgyi, Equivalent conditions and a new fixed point theorem in the theory of contractive type
4
mappings, Math. Japon., 25 (1980), 147-157.
5
[5] P. Kumam, N. Van Dung, K. Sitthithakerngkiet, A Generalization of Ciric Fixed Point Theorems, Filomat, 29
6
(2015), 1549-1556.
7
[6] J. Matkowski, Fixed point theorems for mappings with a contractive iterate at a point, Proc. Amer. Math. Soc.,
8
62 (1977), 344-348.
9
[7] S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math.
10
(Beograd) (N.S.), 32 (1982), 149-153.
11
[8] W. Walter, Remarks on a paper by F. Browder about contraction, Nonlinear Anal., 5 (1981), 21-25.
12
ORIGINAL_ARTICLE
Some coupled fixed point results for setvalued mappings with applications
This paper deals with the study of coupled fixed point theorems for φ-pseudo-contractive set-valuedmappings without using the mixed g-monotone property on the closed ball of partial metric spaces. Generalizationsof some well-known results concerning existence and location of coupled fixed points are obtained.These coupled fixed point theorems are applied for obtaining the existence results for an elliptic system.
https://www.cna-journal.com/article_89768_1627a0e1213a866965d79b860a6f942e.pdf
2017-06-01
111
120
Coupled fixed point
set-valued mapping
partial metric space
elliptic systems
Abdessalem
Benterki
benterki.abdessalem@univ-blida.dz
1
LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria.
LEAD_AUTHOR
Mohamed
Rouaki
mrouaki@univ-blida.dz
2
LAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria.
AUTHOR
Arslan
Hojat Ansari
analsisamirmath2@gmail.com
3
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
AUTHOR
[1] I. Addou, A. Benmeza, Boundary-value problems for the one-dimensional p-laplacian with even superlinearity,
1
Electron. J. Differential Equations, 1999 (1999), 29 pages. 3
2
[2] I. Altun, F. Sola, H. Simsek, Generalized contractions on partial metric spaces, Topology Appl., 157 (2010),
3
2778-2785.
4
[3] H. Aydi, Some coupled fixed point results on partial metric spaces, Int. J. Math. Math. Sci., 2011 (2011), 11
5
[4] H. Aydi, M. Abbas, C. Vetro, Partial Hausdor metric and Nadler's fixed point theorem on partial metric spaces,
6
Topology Appl., 159 (2012), 3234-3242.
7
[5] H. Aydi, S. Hadj Amor, E. Karapnar, Berinde-type generalized contractions on partial metric spaces, Abstr.
8
Appl. Anal., 2013 (2013), 10 pages.
9
[6] S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equations integrales, Fund.
10
Math., 3 (1922), 133-181.
11
[7] I. Beg, A. R. Butt, Coupled fixed points of set-valued mappings in partially ordered metric spaces, J. Nonlinear
12
Sci. Appl., 3 (2010), 179-185.
13
[8] A. Benterki, A local fixed point theorem for set-valued mappings on partial metric spaces, Appl. Gen. Topol., 17
14
(2016), 37-49.
15
[9] N. Bilgili, I. M. Erhan, E. Karapnar, D. Turkoglu, A note on 'Coupled fixed point theorems for mixed g-monotone
16
mappings in partially ordered metric spaces', Fixed Point Theory Appl., 2014 (2014), 6 pages.
17
[10] A. Castro, R. Shivaji, Multiple solutions for a Dirichlet problem with jumping nonlinearities. II, J. Math. Anal.
18
Appl., 133 (1988), 509-528
19
[11] X. Cheng, C. Zhong, Existence of three nontrivial solutions for an elliptic system, J. Math. Anal. Appl., 327
20
(2007), 1420-1430.
21
[12] M. Chhetri, P. Girg, Existence and nonexistence of positive solutions for a class of superlinear semipositone
22
systems, Nonlinear Anal., 71 (2009), 4984-4996.
23
[13] A. L. Dontchev, W. W. Hager, An inverse mapping theorem for set-valued maps, Proc. Amer. Math. Soc., 121
24
(1994), 481-489.
25
[14] W.-S. Du, E. Karapnar, N. Shahzad, The study of fixed point theory for various multivalued non-self-maps, Abstr.
26
Appl. Anal., 2013 (2013), 9 pages. 1
27
[15] T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications,
28
Nonlinear Anal., 65 (2006), 1379-1393.
29
[16] D. J. Guo, V. Lakshmikantham, Coupled fixed points of nonlinear operators with applications, Nonlinear Anal.,
30
11 (1987), 623-632.
31
[17] J. Harjani, B. Lopez, K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to
32
integral equations, Nonlinear Anal., 74 (2011), 1749-1760.
33
[18] A. D. Ioe, V. M. Tihomirov, Theory of extremal problems. Translated from the Russian by K. Makowski. Studies
34
in Mathematics and its Applications, North-Holland Publishing Co., Amsterdam-New York, (1979).
35
[19] H. Isik, M. Imdad, D. Turkoglu, N. Hussain, Generalized Meir-Keeler type -contractive mappings and applications
36
to common solution of integral equations, Int. J. Anal. Appl., 13 (2017), 185-197.
37
[20] H. Isik, S. Radenovic, A new version of coupled fixed point results in ordered metric spaces with applications,Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys., 79 (2017), 131-138.
38
[21] H. Isik, D. Turkoglu, Coupled fixed point theorems for new contractive mixed monotone mappings and applications
39
to integral equations, Filomat, 28 (2014), 1253-1264.
40
[22] E. Kreyszig, Introductory functional analysis with applications, John Wiley & Sons, Inc., New York, (1989).
41
[23] V. Lakshmikantham, L. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric
42
spaces, Nonlinear Anal., 70 (2009), 4341-4349.
43
[24] H. Lee, A coupled fixed point theorem for mixed monotone mappings on partial ordered G-metric spaces, Kyungpook
44
Math. J., 54 (2014), 485-500.
45
[25] P. S. Macansantos, A generalized Nadler-type theorem in partial metric spaces, Int. Journal of Math. Anal., 7
46
(2013), 343-348.
47
[26] P. S. Macansantos, A fixed point theorem for multifunctions in partial metric spaces, J. Nonlinear Anal. Appl.,
48
2013 (2013), 7 pages.
49
[27] R. T. Marinov, D. K. Nedelcheva, Implicit mapping theorem for extended metric regularity in metric spaces, Ric.
50
Mat., 62 (2013), 55-66.
51
[28] S. G. Matthews, Partial metric topology, New York Acad. Sci., New York, (1994).
52
[29] D. Motreanu, Z. Zhang, Constant sign and sign changing solutions for systems of quasilinear elliptic equations,
53
Set-Valued Var. Anal., 19 (2011), 255-269.
54
[30] S. B. Nadler, Multi-valued contraction mappings, Pacic J. Math., 30 (1969), 475-488.
55
[31] S. Radenovic, Remarks on some coupled fixed point results in partial metric spaces, Nonlinear Funct. Anal. Appl.,
56
18 (2013), 39-50.
57
[32] S. Rasouli, M. Bahrampour, A remark on the coupled fixed point theorems for mixed monotone operators in
58
partially ordered metric spaces, Int. J. Math. Comput. Sci., 3 (2011), 246-261.
59
[33] S. Romaguera, Fixed point theorems for generalized contractions on partial metric spaces, Topology Appl., 159
60
(2012), 194-199.
61
[34] M. Rouaki, Nodal radial solutions for a superlinear problem, Nonlinear Anal. Real World Appl., 8 (2007), 563-571.
62
[35] M. Rouaki, Existence and classiction of radial solutions of a nonlinear nonautonomous Dirichlet problem, arXiv
63
preprint arXiv:1110.4019, (2011).
64
[36] B. Ruf, S. Solimini, On a class of superlinear Sturm-Liouville problems with arbitrarily many solutions, SIAM J.
65
Math. Anal., 17 (1986), 761-771.
66
[37] M. Sangurlu, A. Ansari, D. Turkoglu, Coupled fixed point theorems for mixed g-monotone mappings in partially
67
ordered metric spaces via new functions, Gazi Univ. J. Sci., 29 (2016), 149-158.
68
[38] W. Shatanawi, B. Samet, M. Abbas, Coupled fixed point theorems for mixed monotone mappings in ordered partial
69
metric spaces, Math. Comput. Modelling, 55 (2012), 680-687.
70
[39] D. Turkoglu, M. Sangurlu, Coupled fixed point theorems for mixed g-monotone mappings in partially ordered
71
metric spaces, Fixed Point Theory Appl., 2013 (2013), 11 pages.
72
ORIGINAL_ARTICLE
Explicit bound on some retarded integral inequalities and applications
In this paper, we establish some new retarded integral inequalities, which can be used as a tool in the qualitativestudy of certain properties of retarded integrodifferential equations.
https://www.cna-journal.com/article_89769_36a993fbde43b2693e46379a247ff554.pdf
2017-06-01
121
129
retarded inequality
explicit bound
Gronwall-Bellman inequality
Badreddine
Meftah
badrimeftah@yahoo.fr
1
Laboratoire des telecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.
LEAD_AUTHOR
Abdourazek
Souahi
arsouahi@yahoo.fr
2
University of Badji Mokhtar Annaba, Algeria.
AUTHOR
[1] R. Bellman, The stability of solutions of linear differential equations, Duke Math. J., 10 (1943). 643-647.
1
[2] R. Bellman, Asymptotic series for the solutions of linear differential-difference equations. Rend. Circ. Mat. Palermo (2) 7(1958), 261-269.
2
[3] H. El-Owaidy, A. Abdeldaim, A.A. El-Deeb, On some new nonlinear retarded integral inequalities with iterated integrals
3
and their applications in differential-integral equations, Math. Sci. Lett., 3 (2014), 157-164.
4
[4] Y. H. Kim, On some new integral inequalities for functions in one and two variables, Acta Math. Sin. (Engl. Ser.), 21
5
(2005), 423-434.
6
[5] O. Lipovan, A retarded Gronwall-like inequality, and its applications, J. Math. Anal. Appl., 252 (2000), 389-401.
7
[6] T. H. Gronwall, Note on the derivatives with respect to a parameter of the solutions of a system of differential equations, Ann. of Math. (2), 20 (1919), 292-296.
8
[7] B. G. Pachpatte, Explicit bounds on certain integral inequalities, J. Math. Anal. Appl., 267 (2002), 48-61.
9
[8] M. H. M. Rashidi, Explicit bounds on retarded Gronwall-Bellman inequality, Tamkang J. Math., 43 (2012), 99-108.
10